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SageMath
E = EllipticCurve("gf1")
E.isogeny_class()
Elliptic curves in class 310464.gf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.gf1 | 310464gf1 | \([0, 0, 0, -2928828, 1998183544]\) | \(-31636584484096/1331669031\) | \(-116953177338571521024\) | \([]\) | \(8847360\) | \(2.6173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.gf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.gf do not have complex multiplication.Modular form 310464.2.a.gf
sage: E.q_eigenform(10)