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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 379050.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.g1 | 379050g1 | \([1, 1, 0, -74354200000, -7803835325696000]\) | \(-9016495979563870309819/19756800000\) | \(-99613692304377300000000000\) | \([]\) | \(1011225600\) | \(4.6618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.g do not have complex multiplication.Modular form 379050.2.a.g
sage: E.q_eigenform(10)