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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 302330.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.b1 | 302330b1 | \([1, 0, 1, 8206, 1100292]\) | \(519524563319/4740534400\) | \(-557719131625600\) | \([]\) | \(1806336\) | \(1.5108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302330.b do not have complex multiplication.Modular form 302330.2.a.b
sage: E.q_eigenform(10)