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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 97344.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97344.b1 | 97344cz1 | \([0, 0, 0, 78, 650]\) | \(6656/27\) | \(-212891328\) | \([]\) | \(46080\) | \(0.28068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97344.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 97344.b do not have complex multiplication.Modular form 97344.2.a.b
sage: E.q_eigenform(10)