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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 317900.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.d1 | 317900d1 | \([0, 0, 0, -1319200, -1074663500]\) | \(-219633107337216/304487046875\) | \(-351987026187500000000\) | \([]\) | \(19595520\) | \(2.6349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900.d do not have complex multiplication.Modular form 317900.2.a.d
sage: E.q_eigenform(10)