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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 37830.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.v1 | 37830u1 | \([1, 0, 0, -261411, -106452405]\) | \(-1975583504633441101489/3750192587141756730\) | \(-3750192587141756730\) | \([]\) | \(810880\) | \(2.2538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37830.v do not have complex multiplication.Modular form 37830.2.a.v
sage: E.q_eigenform(10)