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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 135240.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.b1 | 135240ds1 | \([0, -1, 0, -4916, 33741]\) | \(142476544/77625\) | \(7159882842000\) | \([]\) | \(362880\) | \(1.1575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240.b do not have complex multiplication.Modular form 135240.2.a.b
sage: E.q_eigenform(10)