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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 75810.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.v1 | 75810p1 | \([1, 1, 0, -19862, 2312916]\) | \(-51026761/107520\) | \(-1826072698168320\) | \([]\) | \(383040\) | \(1.6174\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810.v do not have complex multiplication.Modular form 75810.2.a.v
sage: E.q_eigenform(10)