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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 67158.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.v1 | 67158h1 | \([1, -1, 0, -30381, -2458811]\) | \(-114861420502828299/30859829649376\) | \(-833215400533152\) | \([]\) | \(367360\) | \(1.5794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158.v do not have complex multiplication.Modular form 67158.2.a.v
sage: E.q_eigenform(10)