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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 91035c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.bb1 | 91035c1 | \([0, 0, 1, -12380373318, -530297279738352]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-39533235637811993518578046875\) | \([]\) | \(96768000\) | \(4.4888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91035c do not have complex multiplication.Modular form 91035.2.a.c
sage: E.q_eigenform(10)