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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9075.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9075.b1 | 9075o1 | \([0, 1, 1, 92, 94]\) | \(45056/27\) | \(-51046875\) | \([]\) | \(2880\) | \(0.16831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9075.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9075.b do not have complex multiplication.Modular form 9075.2.a.b
sage: E.q_eigenform(10)