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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 75150v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.c1 | 75150v1 | \([1, -1, 0, 4743, -71699]\) | \(129477420379/98500608\) | \(-8975867904000\) | \([]\) | \(188416\) | \(1.1736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150v do not have complex multiplication.Modular form 75150.2.a.v
sage: E.q_eigenform(10)