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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 317900q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.q1 | 317900q1 | \([0, 0, 0, -92480, -21592635]\) | \(-9059696640/15618427\) | \(-150796343753585200\) | \([]\) | \(3110400\) | \(1.9868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900q do not have complex multiplication.Modular form 317900.2.a.q
sage: E.q_eigenform(10)