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SageMath
E = EllipticCurve("jf1")
E.isogeny_class()
Elliptic curves in class 78400jf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.a1 | 78400jf1 | \([0, 0, 0, -2018800, 1137388000]\) | \(-30211716096/1071875\) | \(-32282885600000000000\) | \([]\) | \(4423680\) | \(2.5157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400jf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400jf do not have complex multiplication.Modular form 78400.2.a.jf
sage: E.q_eigenform(10)