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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 20097.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20097.d1 | 20097b1 | \([1, -1, 1, -263, 2970]\) | \(-74246873427/92019697\) | \(-2484531819\) | \([]\) | \(7488\) | \(0.49625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20097.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 20097.d do not have complex multiplication.Modular form 20097.2.a.d
sage: E.q_eigenform(10)