Properties

Label 77760.v
Number of curves $1$
Conductor $77760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 77760.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77760.v1 77760ck1 \([0, 0, 0, -293868, 49472208]\) \(241750216332/48828125\) \(566870400000000000\) \([]\) \(608256\) \(2.1224\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77760.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 77760.v do not have complex multiplication.

Modular form 77760.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 3 q^{11} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display