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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 247962c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247962.c1 | 247962c1 | \([1, 1, 0, -138216474, -610466208984]\) | \(1010427838681505646320034697/27774212930510449210236\) | \(8026747536917519821758204\) | \([]\) | \(132789888\) | \(3.5585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247962c do not have complex multiplication.Modular form 247962.2.a.c
sage: E.q_eigenform(10)