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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 72450.er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.er1 | 72450ct1 | \([1, -1, 1, -380, 2997]\) | \(-14348907/322\) | \(-135843750\) | \([]\) | \(31360\) | \(0.34892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.er1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.er do not have complex multiplication.Modular form 72450.2.a.er
sage: E.q_eigenform(10)