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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 40310i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.c1 | 40310i1 | \([1, 1, 0, -877, 9641]\) | \(-74730178537561/10077500\) | \(-10077500\) | \([]\) | \(17408\) | \(0.36253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 40310i do not have complex multiplication.Modular form 40310.2.a.i
sage: E.q_eigenform(10)