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SageMath
E = EllipticCurve("ge1")
E.isogeny_class()
Elliptic curves in class 377520ge
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.ge1 | 377520ge1 | \([0, 1, 0, -58560, 7854900]\) | \(-4073768343611/2555904000\) | \(-13934216085504000\) | \([]\) | \(2363904\) | \(1.7994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520ge1 has rank \(0\).
Complex multiplication
The elliptic curves in class 377520ge do not have complex multiplication.Modular form 377520.2.a.ge
sage: E.q_eigenform(10)