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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 253575g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
253575.g1 | 253575g1 | \([0, 0, 1, -202125, 35103906]\) | \(-5451776/23\) | \(-3852774966796875\) | \([]\) | \(2540160\) | \(1.8453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 253575g do not have complex multiplication.Modular form 253575.2.a.g
sage: E.q_eigenform(10)