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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 7350.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.cl1 | 7350ct1 | \([1, 0, 0, -638, 11892]\) | \(-30625/48\) | \(-45018750000\) | \([]\) | \(7200\) | \(0.73552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7350.cl do not have complex multiplication.Modular form 7350.2.a.cl
sage: E.q_eigenform(10)