Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7605.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7605.a1 | 7605t1 | \([0, 0, 1, -46137, -3934278]\) | \(-18264064/675\) | \(-401400694536075\) | \([]\) | \(59904\) | \(1.5731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7605.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7605.a do not have complex multiplication.Modular form 7605.2.a.a
sage: E.q_eigenform(10)