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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)