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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 251896f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
251896.f1 | 251896f1 | \([0, -1, 0, -5932, 183953]\) | \(-562432/23\) | \(-944187318512\) | \([]\) | \(414720\) | \(1.0653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 251896f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 251896f do not have complex multiplication.Modular form 251896.2.a.f
sage: E.q_eigenform(10)