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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 98315e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98315.f1 | 98315e1 | \([0, 1, 1, -35, 121]\) | \(-1736704/1715\) | \(-4817435\) | \([]\) | \(15552\) | \(-0.021830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98315e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 98315e do not have complex multiplication.Modular form 98315.2.a.e
sage: E.q_eigenform(10)