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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 145794.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.f1 | 145794bl1 | \([1, 1, 0, -22, 292]\) | \(-571849/17424\) | \(-38489616\) | \([]\) | \(46080\) | \(0.13590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 145794.f do not have complex multiplication.Modular form 145794.2.a.f
sage: E.q_eigenform(10)