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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 59248i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.a1 | 59248i1 | \([0, 0, 0, -4453651, 3670382389]\) | \(-4124632486295808/70140333767\) | \(-166132586623273021808\) | \([]\) | \(2838528\) | \(2.6785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59248i do not have complex multiplication.Modular form 59248.2.a.i
sage: E.q_eigenform(10)