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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 355740.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.v1 | 355740v1 | \([0, -1, 0, -24845, -8175495]\) | \(-8192/135\) | \(-27951300564929280\) | \([]\) | \(2737152\) | \(1.8370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740.v do not have complex multiplication.Modular form 355740.2.a.v
sage: E.q_eigenform(10)