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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 334620.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.ci1 | 334620ci1 | \([0, 0, 0, -677352, -348593596]\) | \(-38153936896/36196875\) | \(-32606087186930400000\) | \([]\) | \(9031680\) | \(2.4406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.ci do not have complex multiplication.Modular form 334620.2.a.ci
sage: E.q_eigenform(10)