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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 215475l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.v1 | 215475l1 | \([1, 0, 0, -6962888, 7708927017]\) | \(-117161545345/12778713\) | \(-4071870612867997265625\) | \([]\) | \(11606400\) | \(2.8844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215475l do not have complex multiplication.Modular form 215475.2.a.l
sage: E.q_eigenform(10)