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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 62400.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.v1 | 62400fc1 | \([0, -1, 0, -33, 687]\) | \(-4096/195\) | \(-195000000\) | \([]\) | \(23040\) | \(0.27071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.v do not have complex multiplication.Modular form 62400.2.a.v
sage: E.q_eigenform(10)