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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 35136.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35136.g1 | 35136cr1 | \([0, 0, 0, -1164, 16144]\) | \(-912673/61\) | \(-11657281536\) | \([]\) | \(24576\) | \(0.68357\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35136.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 35136.g do not have complex multiplication.Modular form 35136.2.a.g
sage: E.q_eigenform(10)