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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2475.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2475.d1 | 2475b1 | \([1, -1, 1, -1055, -70928]\) | \(-675/11\) | \(-2114384765625\) | \([]\) | \(2880\) | \(1.0462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2475.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2475.d do not have complex multiplication.Modular form 2475.2.a.d
sage: E.q_eigenform(10)