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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 88445.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.b1 | 88445m1 | \([0, 0, 1, -300713, -63428332]\) | \(196145197056/153125\) | \(2347733222253125\) | \([]\) | \(691200\) | \(1.8805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88445.b do not have complex multiplication.Modular form 88445.2.a.b
sage: E.q_eigenform(10)