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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 350064b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350064.b1 | 350064b1 | \([0, 0, 0, -53472, 8967580]\) | \(-90601524035584/133720162147\) | \(-24955391540521728\) | \([]\) | \(3939840\) | \(1.8382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350064b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 350064b do not have complex multiplication.Modular form 350064.2.a.b
sage: E.q_eigenform(10)