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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 975.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
975.d1 | 975e1 | \([1, 1, 1, -1138, -15844]\) | \(-417267265/19773\) | \(-7723828125\) | \([]\) | \(720\) | \(0.66002\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 975.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 975.d do not have complex multiplication.Modular form 975.2.a.d
sage: E.q_eigenform(10)