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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 311696.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.b1 | 311696b1 | \([0, 0, 0, -1018699, 401518777]\) | \(-4124632486295808/70140333767\) | \(-1988126077257604592\) | \([]\) | \(7526400\) | \(2.3097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.b do not have complex multiplication.Modular form 311696.2.a.b
sage: E.q_eigenform(10)