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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 331200d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.d1 | 331200d1 | \([0, 0, 0, -14700, -491600]\) | \(2941225/828\) | \(98895790080000\) | \([]\) | \(1474560\) | \(1.3924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 331200d do not have complex multiplication.Modular form 331200.2.a.d
sage: E.q_eigenform(10)