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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 735b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
735.a1 | 735b1 | \([0, -1, 1, -15206, -1184338]\) | \(-1376628736/1366875\) | \(-386108355976875\) | \([]\) | \(4704\) | \(1.4947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 735b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 735b do not have complex multiplication.Modular form 735.2.a.b
sage: E.q_eigenform(10)