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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 64715.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64715.b1 | 64715g1 | \([1, 1, 1, -78105, -8656148]\) | \(-28498608725272729/882735153125\) | \(-1632177298128125\) | \([]\) | \(252000\) | \(1.6960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64715.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64715.b do not have complex multiplication.Modular form 64715.2.a.b
sage: E.q_eigenform(10)