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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 450800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.b1 | 450800b1 | \([0, 0, 0, -10313275, 12933972625]\) | \(-4124632486295808/70140333767\) | \(-2062985031838445750000\) | \([]\) | \(33030144\) | \(2.8884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.b do not have complex multiplication.Modular form 450800.2.a.b
sage: E.q_eigenform(10)