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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7350.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.a1 | 7350k1 | \([1, 1, 0, -3662775, -3105376875]\) | \(-1231272543361/230400000\) | \(-1016910896400000000000\) | \([]\) | \(524160\) | \(2.7552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7350.a do not have complex multiplication.Modular form 7350.2.a.a
sage: E.q_eigenform(10)