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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7350.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.i1 | 7350f1 | \([1, 1, 0, -308480, 65863680]\) | \(-1103770289367265/891813888\) | \(-2623025302732800\) | \([]\) | \(109440\) | \(1.8882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7350.i do not have complex multiplication.Modular form 7350.2.a.i
sage: E.q_eigenform(10)