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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 304200.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.b1 | 304200b1 | \([0, 0, 0, -13131300, 18315290500]\) | \(-17790954496/195\) | \(-2744620133580000000\) | \([]\) | \(15482880\) | \(2.6922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 304200.b do not have complex multiplication.Modular form 304200.2.a.b
sage: E.q_eigenform(10)