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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 323400.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.v1 | 323400v1 | \([0, -1, 0, 29634792, 31275326412]\) | \(30580960408750/22189767831\) | \(-2088483196439455200000000\) | \([]\) | \(53913600\) | \(3.3549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.v do not have complex multiplication.Modular form 323400.2.a.v
sage: E.q_eigenform(10)