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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 327990.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.v1 | 327990v1 | \([1, 0, 1, -23001368, -91116025342]\) | \(-3198929765521/6673387500\) | \(-2807542391865145100887500\) | \([]\) | \(102312000\) | \(3.3803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.v do not have complex multiplication.Modular form 327990.2.a.v
sage: E.q_eigenform(10)